Step-by-step explanation:
It is 28°
Because both triangles FED and ABC are right (converse of pythagorean theorem)
Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle
You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)
This will also be the measure of angle D
I'm not sure if it is right but hopefully it will help you.
Answer:
64 ways
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3-(7-2x) > -8
get rid of the parentheses because there is a minus sign before them
3-7+2x > -8
replace x with all the numbers (one by one not all at once) and see if the equation is correct until you find the number that makes it incorrect.
<u>EXAMPLE:</u>
3-7+2(1) > -8 parentheses next to a number means multiply
3-7+2 > -8
3-7 = -4
-4 + 2 = -2
-2 is greater than -8
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Yes 8>-8 because 8 is negative
